[Math] Distance between point and a plane represented with $3$ points in $3D$ space

geometrylinear algebra

I have to find a distance between a plane represented with a triangle and a point in $3D$ space. I searched other questions but the plane is usually represented by a plane equation or a normal, so I am having trouble finding this distance when the plane is represented by three points.

Best Answer

HINT

You can find the normal vector by cross product and then apply the formula for the distance between plane and point.